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Finding the Third Proportional to 251,333 and 542,029

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Solution

The third proportional to 251,333 and 542,029 is: 1,168,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,333 : 542,029 = 542,029 : x
  2. Step 2: Convert to fraction form
    251,333/542,029 = 542,029/x
  3. Step 3: Cross multiply
    251,333x = 542,029 × 542,029
  4. Step 4: Simplify right side
    251,333x = 293,795,436,841
  5. Step 5: Solve for x
    x = 293,795,436,841/251,333
  6. Step 6: Final answer
    x = 1,168,948.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.